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Yuri [45]
2 years ago
7

A cylinder has a volume of 83 in3 and is 10 in. tall. What is the radius of the cylinder in inches? Round your answer to the nea

rest tenth.
Mathematics
1 answer:
Nataly [62]2 years ago
3 0
To find the radius of the cylinder you will use the volume formula and solve for the radius.

V = pi x r^2 x h
83 = 3.14 x r^2 x 10
83 = 31.4 x r^2; divide both sides by 31.4
r^2 = 2.6; find the square root of 2.6
r = 1.6 in.

The radius is approximately 1.6 in.
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What is the nth term rule of the linear sequence below?<br> -4,-1,2,5,8,...
storchak [24]

Answer:

The nth term of the given sequence  tₙ = 3 n - 7

Step-by-step explanation:

Given sequence   - 4 , -1 , 2 , 5, 8 , .....

First term a = -4

The difference of two terms of a given sequence

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d = 2 - (-1) = 2 +1 = 3

d = 5 -2 = 3

d = 8 - 5 =3

The difference of two terms of a given sequence is equal

∴ The given sequence is in Arithmetic progression(AP)

     The nth term of given sequence

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  = -4 + (n -1 ) 3 \\= - 4 + 3n - 3 \\= 3 n - 7

<u><em>Final answer:</em></u>-

The nth term of the given sequence  tₙ = 3 n - 7

         

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